QUANTITATIVE APTITUDE - H.C.F AND L.C.M SET 02

HCF AND LCM SET 02

1. The smallest number which when diminished by 7,  is divisible by  12, 16, 18, 21 and 28 is
 

A) 1008          B) 1015          C) 1022         D) 1032 
 

2. The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
 

A) 1677          B) 1683          C) 2523          D) 3363 
 

3. The L.C.M of  22, 54, 108, 135 and 198 is

A) 330         B) 1980          C) 5940         D) 11880
 

4. The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
 

 A) 74              B) 94          C) 184          D) 364 
 

5. Three numbers are in the ratio 1 : 2 : 3  and their H.C.F is 12. The numbers are
 

 A) 4, 8, 12      B) 5, 10, 15          C) 10, 20, 30          D) 12, 24, 36 
 

6. If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:
 

A) 55/601          B) 601/55          C) 11/120          D) 120/11 
 

7. The maximum number of students  among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:
 

A) 91          B) 910          C) 1001          D) 1911 
 

8. Which of the following has the most number of divisors?
 

 A) 99          B) 101          C) 176          D) 182 
 

9. The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275 , then the other is
 

 A) 279          B) 283          C) 308             D) 318 
 

10. The H.C.F and L.C.M of two numbers are 84 and 21 respectively.  If the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is
 

A) 12         B) 48          C) 84          D) 108

Answer keys:
1. B
2. B
3. C
4. D
5. D
6. C
7. A
8. C
9. C
10. C